Abstract: A leveling machine with parallel cylinders comprising at least one pair of active leveling cylinders (2), placed on each side of the strip to be leveled and each free to rotate and supported on a crosspiece (5) through a series of spaced bearing members (3). Each bearing member (3) comprises a bearing part (31) mounted in an individual frame forming a casing, connected to crosspiece (5) with a possibility of a clearance transverse to the plane of motion P of strip (A). Each of the said casings bears individually on crosspiece (5) through a positioning member (6) of variable length, for individual adjustment at the level of the corresponding bearing part (31) with respect to the crosspiece (5). The invention is particularly applicable to leveling of thin metal strips.